673is an odd number,as it is not divisible by 2
The factors for 673 are all the numbers between -673 and 673 , which divide 673 without leaving any remainder. Since 673 divided by -673 is an integer, -673 is a factor of 673 .
Since 673 divided by -673 is a whole number, -673 is a factor of 673
Since 673 divided by -1 is a whole number, -1 is a factor of 673
Since 673 divided by 1 is a whole number, 1 is a factor of 673
Multiples of 673 are all integers divisible by 673 , i.e. the remainder of the full division by 673 is zero. There are infinite multiples of 673. The smallest multiples of 673 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 673 since 0 × 673 = 0
673 : in fact, 673 is a multiple of itself, since 673 is divisible by 673 (it was 673 / 673 = 1, so the rest of this division is zero)
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 673, the answer is: yes, 673 is a prime number because it only has two different divisors: 1 and itself (673).
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 673). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 25.942 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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